The function f(x) has a greater maximum 7.
The given function is f(x)=-3x²+6x+4 and g(x) the function in the graph.
We need to check which function has the greater maximum.
What is a maximum in the function?
The maximum value of a function is the place where a function reaches its highest point, or vertex, on a graph.
The first way is graphing. You can find the maximum value visually by graphing the equation and finding the maximum point on the graph. This is especially easy when you have a graphing calculator that can do the work for you.
The maximum for the function g(x) is 6.
From the graph given below, we can see that the maximum for the function f(x) is 7.
Therefore, the function f(x) has a greater maximum 7.
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